rine of the seuen and twenty
coclusion, make a circle about that triangle. And so haue you
wroughte the request of this conclusion. Whyche yet you maye
woorke by the twenty and eight conclusion also, so that of your
line appointed, you make one side of the triangle be equal to y^e
angle assigned as youre selfe mai easily gesse.

[Illustration]

_Example._

First for example of a sharpe angle let A. stand & B.C shal be y^e
lyne assigned. Then do I make a triangle, by adding B.C, as a
thirde side to those other ij. which doo include the angle
assigned, and that triangle is D.E.F, so y^t E.F. is the line
appointed, and D. is the angle assigned. Then doo I drawe a
portion of a circle about that triangle, from the one ende of
that line assigned vnto the other, that is to saie, from E.
a long by D. vnto F, whiche portion is euermore greatter then
the halfe of the circle, by reason that the angle is a sharpe
angle. But if the angle be right (as in the second exaumple you
see it) then shall the portion of the circle that containeth
that angle, euer more be the iuste halfe of a circle. And when
the angle is a blunte angle, as the thirde exaumple dooeth
propounde, then shall the portion of the circle euermore be
lesse then the halfe circle. So in the seconde example, G. is
the right angle assigned, and H.K. is the lyne appointed, and
L.M.N. the portion of the circle aunsweryng thereto. In the
third exaumple, O. is the blunte corner assigned, P.Q. is the
line, and R.S.T. is the portion of the circle, that containeth
that blunt corner, and is drawen on R.T. the line appointed.

THE XXXII. CONCLVSION.

To cutte of from a circle appointed, a portion containyng an
angle equall to a right lyned angle assigned.

When the angle and the circle are assigned, first draw a touch
line vnto that circle, and then drawe an other line from the
pricke of the touchyng to one side of the circle, so that
thereby those two lynes do make an angle equall to the angle
assigned. Then saie I that the portion of the circle of the
contrarie side to the angle drawen, is the parte that you seke
for.

_Example._

[Illustration]

A. is the angle appointed, and D.E.F. is the circle assigned,
from which I must cut away a portion that doth contain an angle
equall to this angle A. Therfore first I do draw a touche line
to the circle assigned, and that touch line is B.C, the very
pricke of the touche is D, from whiche D. I drawe a lyne D.E,